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GCF of 716/809, 488/223

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 716/809, 488/223 i.e 4/180407 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/809, 488/223.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 716/809,488/223?

Given fractions are 716/809,488/223

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 716/809,488/223, numerators are 716,488

Denominators are 809,223

The GCF of 716,488 is 4 .

LCM of 809,223 is 180407.

The greatest common factor of 716/809,488/223 = [GCF of 716,488]/[LCM of 809,223]= 4/180407

Therefore, the GCF of 716/809,488/223 is 4/180407.

Greatest Common Factor of 716,488

To find the highest common factor of 716,488, we have to find the factors of both numbers and list the highest common factor.

The factors of 716 are 1, 2, 4, 179, 358, 716

The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488

The HCF of 716,488 is 4.

Lets's calculate GCF of 716,488

Greatest Common Factor (GCF) of 716,488 By Common Division

2 716, 488
2 358, 244
179, 122

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 716,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,488 By Matching Biggest Common Factor Method

Now, list down the factors of 716

:

1,2,4,179,358,716

Now, list down the factors of 488

:

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 716,488 . The biggest common factor number is the GCF number.
So the greatest common factor 716,488 is 4.

Lets's calculate LCM of 809,223

Lowest Common Multiple of 809,223 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 180407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/180407

Therefore, the GCF of Fractions 716/809,488/223 is 4/180407

Least Common Multiple of 809,223 with GCF Formula

Least Common Multiple of 809,223 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 809,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,223) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(809,223) x common factors =1 x 1 = 1

LCM(809,223) = ( 809 × 223 ) / 1

LCM(809,223) = 180407 / 1

LCM(809,223) = 180407


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FAQs on GCF of Fractions of 716/809, 488/223

1. What is the HCF of 716,488?

The HCF of 716,488 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 716/809, 488/223?

Answer: GCF of Numerators as per given numbers 716/809, 488/223 is

GCF of Numerators i.e. for 716,488 is 4

LCM of denominators i.e. for 809,223 is 180407.

Thus, GCF of Fractions is 4/180407.Finally, GCF of Fractions for 716/809, 488/223 is 4/180407.